Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic-Reference-Cited by-同舟云学术

Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic

Published:2018-01-23 Issue:02 Volume:17 Page:1850038
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Grishkov A. N.¹²,Marko F.³

Affiliation:

1. Instituto de Mathemática e Estatística, Universidade de São Paulo, Rua do Matão 1010 CEP 05508-090, São Paulo, Brazil

2. Omsk State University n.a. F.M. Dostoevskii, pr. Mira 55-A, Omsk 644077, Russia

3. Penn State Hazleton, 76 University Drive, Hazleton PA 18202, USA

Abstract

In this paper, we shall describe costandard modules [Formula: see text] of restricted highest weight [Formula: see text] for Schur superalgebra [Formula: see text] over an algebraically closed field [Formula: see text] of positive characteristic [Formula: see text]. Additionally, for a restricted highest weight [Formula: see text], we determine all composition factors of the costandard module [Formula: see text]; in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881850038X

Reference8 articles.

1. Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras

2. DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA S(2|2)

3. Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic

4. The Steinberg tensor product theorem for 𝐺𝐿(𝑚\𝑣𝑒𝑟𝑡𝑛)

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